• 대한수학회보
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• 제41권2호
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• pp.371-385
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• 2004

In this paper, we investigate the uniqueness of positive solutions to weak competition models with self-cross diffusion rates under homogeneous Dirichlet boundary conditions. The methods employed are upper-lower solution technique and the variational characterization of eigenvalues.

• 한국정보디스플레이학회:학술대회논문집
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• 한국정보디스플레이학회 2007년도 7th International Meeting on Information Display 제7권2호
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• pp.1539-1542
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• 2007

We have synthesized novel organic passivation materials to protect organic thin film transistors (OTFTs) from $H_2O$ and $O_2$ using polyvinyl alcohol (PVA)/layered silicate (SWN) nano composite system. Up to 3 wt% of layered silicate to PVA, very homogeneous nanocomposite solution was prepared.

• 호남수학학술지
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• 제41권4호
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• pp.823-835
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• 2019

A solution for Nevanlinna-Pick interpolation problem with low complexity is constructed via non-recursive method. More precisely, a stable rational function satifying the given interpolation data in the complex right half plane is found by solving a homogeneous interpolation problem related to a minial interpolation problem for the given data in the right half plane together with its mirror-image data.

• 대한수학회보
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• 제27권2호
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• pp.157-164
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• 1990

The purpose of this paper is to consider the inhomogeneous initial value problem (Fig.) in a Banach space X, where Z is the generator of an exponentially bounded C-semigroup in X, f9t) : [0, T].rarw.X and x.mem.X. Davies-Pang [1] showed the corresponding homogeneous equation, this is, the equation with f(t).iden.0, has a unique solution depending continuoously on the initial value x.mem.CD(z) in the $C^{-1}$-graph norm on CD(Z) when T=.inf..

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제19권3호
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• pp.289-295
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• 2012

We research the properties of solutions of general higher order non-homogeneous linear differential equations and apply the hyper order to obtain more precise estimation for the growth of solutions of infinite order.

• 전기의세계
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• 제14권5호
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• pp.1-7
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• 1965

Using "Yonsei$^{101}$ Analog Computer" the poisoning of the Xenon$^{135}$ in a thermal homogeneous nuclear reactor is analyzed. The simulator is constituted of high gain D.C. operational amplifiers and operational impedances. During the nuclear reactor operation, the Xenon poisoning increases against time until the equilibrium state reaches. After the reactor shut-down, it increases remarkably until the maximum value and then decreases. The simulated curves agree with theoretical values satisfactorily. The accuracy of the analog computer solution is 0.4387 per cent during the nuclear reactor operation and 6.7 per cent after the nuclear reactor shut-down respectively.pectively.

• 호남수학학술지
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• 제24권1호
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• pp.35-41
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• 2002

The solutions of a homogeneous system in state space form $\dot{x}=Ax$ are to the form $x=e^{At}x_0$ and the solutions of an inhomogeneous system $\dot{x}=Ax(t)+f(t)$ are to the form $x=e^{At}x_0+{{\int}_0^t}\;e^{A(t-{\tau})}f({\tau})d{\tau}$. In this note we show that the solution of descriptor systems under some conditions exists, and is unique, moreover it is interesting to know the solutions of descriptor system are schematically like the solutions as in the state space form. Also we will give some algorithms to compute these solutions.

• Kyungpook Mathematical Journal
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• 제60권1호
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• pp.145-161
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• 2020

In this article, we study the solvability of the Cauchy-Dirichlet problem for a class of nonlinear parabolic equations with nonstandard growth and nonlocal terms. We prove the existence of weak solutions of the considered problem under more general conditions. In addition, we investigate the behavior of the solution when the problem is homogeneous.

• 대한수학회지
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• 제56권5호
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• pp.1309-1331
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• 2019

We study the homogeneous Dirichlet boundary value problem of generalized Laplacian systems with a singular weight which may not be in $L^1$. Using the well-known fixed point theorem on cones, we obtain the multiplicity results of positive solutions under two different asymptotic behaviors of the nonlinearities at 0 and ${\infty}$. Furthermore, a global result of positive solutions for one special case with respect to a parameter is also obtained.

• Korean Journal of Mathematics
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• 제27권2호
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• pp.487-503
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• 2019

In this study, the author provided a discussion on one dimensional Laplace and Fourier transforms with their applications. It is shown that the combined use of exponential operators and integral transforms provides a powerful tool to solve space fractional partial differential equation with non - constant coefficients. The object of the present article is to extend the application of the joint Fourier - Laplace transform to derive an analytical solution for a variety of time fractional non - homogeneous KdV. Numerous exercises and examples presented throughout the paper.